Research

Numerical analysis, Scientific computing, Numerical Solutions of Fractional Differential Equations and Fractional Calculus.

• PhD Scholar: Varsha R (Ongoing)
•  PG Dissertation: Amber Shukla, May 2023.

Teaching

• MA1012E: Mathematics-II (Batch CS 02-03): Winter 2024 (Ongoing)
• MA6203E: Numerical Analysis (MSc Math): Monsoon 2023
• MA2001D: Mathematics-III (CS-02): Monsoon 2023
• MA1002D: Mathematics-II (Batch D, L): Winter 2023
• MA2001D: Mathematics-III (CE, PE): Monsoon 2022

Grants

• Availed DAC funding from Isaac Newton Institute for Mathematical Sciences, Cambridge, UK for presenting a talk in the workshop in Feb 2022.
• Availed Junior Research Fellowship from UGC from Feb 2016 to Jan 2018.
• Availed Senior Research Fellowship from UGC from Feb 2018 to Jan 2021.

Achievements & Awards

• Best Presentation Award in “27^th International conference of International Academy of Physical Sciences (CONIAPS-XXVII)”, Oct 2021 at NIT Silchar, Assam, India.
• Best Paper presentation award in “2^nd International conference on mathematical modelling, applied  analysis and computation (ICMMAAC-19)”, August 2019 at JECRC University, Jaipur, India.
• Gold Medalist in M.Phil. (Maths).
• Gold Medalist in M.Sc. (Maths).
• Qualified Gate (all India Rank 33).
• Qualified CSIR NET (all India Rank 24).
• Qualified Junior Research Fellowship (JRF UGC) (all India Rank 86).
• Qualified Junior Research Fellowship (JRF UGC).

• Invited speaker in workshop “DST-STUTI” at NIT Calicut collaborated with ICT Mumbai, July 2023.
• Presented a short talk in "Inaugural meeting of Asian-Oceanian Women in Mathematics" at ICTS, Bengaluru, April 2023.
• Presented an Invited talk in one week FDP on ' Recent Emerging Trends of Research in Mathematics' organized by Vellore Institute of Technology, Chennai, March 2023.
• Presented an Invited talk in one week workshop on “‘Deterministic and stochastic fractional differential equations and jump processes (FD2W01)” at Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, Feb, 2022.

• A computational procedure and analysis for multi-term time-fractional Burgers-type equation, Mathematical Methods in the Applied Sciences, pp 1-15, 2022. (with A.S.V. RaviKanth)
•  Numerical treatment and analysis for a class of time-fractional Burgers equation with the Dirichlet boundary conditions, International Journal of Computational Science and Engineering, Vol. 25(1), 74-90, 2022. (with A.S.V. RaviKanth)
• Numerical Simulation of Time Fractional Advection-Diffusion-Reaction Equation using Exponential B-Splines, Renewable Energy towards Smart Grid. Lecture Notes in Electrical Engineering, vol. 823, pp 133-143, 2022. (with A.S.V. RaviKanth)
• An unconditionally stable algorithm for multi-term time-fractional advection-diffusion equation with variable coefficients and convergence analysis, Numerical methods for partial differential equations, 37(3), 1928-1945, 2020. (with A.S.V. RaviKanth)
• A numerical approach for a class of time fractional reaction diffusion equation through exponential B-spline method, Computational and Applied Mathematics, Vol. 39(1), article ID 37, 2020. (with A.S.V. RaviKanth)
• An Implicit Numerical Scheme for a Class of Multi-term Time-Fractional Diffusion Equation, The European Physical Journal Plus, Vol. 134, 312, 2019. (with A.S.V. RaviKanth)
• Analytical solution of the Bloch equation using fractional operators with non-singular kernels, chapter in Springer Proceedings Series “Trends in Mathematics” pp. 37-45, 2019. (with A.S.V. RaviKanth)
• Computational Simulations for solving a class of Fractional Models via Caputo Fabrizio Fractional Derivative, Procedia Computer Science, Vol. 125, pp. 476-482, 2018. (with A.S.V. RaviKanth)

1)  Faculty Advisor, M.Sc. Mathematics (2022 admission) students. 

2)  Course Coordinator, Mathematics II (Winter 2022-23).

3) Department Coordinator-Examination (From Feb 23)

1. Coordinator for one week workshop on “Mathematics for Artificial Intelligence (MAI-2023)” on 16-01-2023 - 20-01-2023, Department of Mathematics, NIT Calicut.

Life Member of the Indian Mathematical Society (IMS).

Sep 2023-Sep 2025: Faculty Research Seed Grant (FRG)